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Finding the Fourth Proportional to 510.14, 765.07 and 185.74

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Solution

The fourth proportional to 510.14, 765.07 and 185.74 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 765.07 = 185.74 : x
  2. Step 2: Convert to fraction form
    510.14/765.07 = 185.74/x
  3. Step 3: Cross multiply
    510.14x = 765.07 × 185.74
  4. Step 4: Simplify right side
    510.14x = 142,104.10
  5. Step 5: Solve for x
    x = 142,104.10/510.14
  6. Step 6: Final answer
    x = 278.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.